406233464 has 64 divisors (see below), whose sum is σ = 940040640. Its totient is φ = 160266240.

The previous prime is 406233463. The next prime is 406233491. The reversal of 406233464 is 464332604.

It is a self number, because there is not a number n which added to its sum of digits gives 406233464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406233461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431234 + ... + 432174.

It is an arithmetic number, because the mean of its divisors is an integer number (14688135).

Almost surely, 2^406233464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406233464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470020320).

406233464 is an abundant number, since it is smaller than the sum of its proper divisors (533807176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

406233464 is a wasteful number, since it uses less digits than its factorization.

406233464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The square root of 406233464 is about 20155.2341588978. The cubic root of 406233464 is about 740.6139681788.

The spelling of 406233464 in words is "four hundred six million, two hundred thirty-three thousand, four hundred sixty-four".